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15-09-2022
Mathematics

contestada

solve the inequality

|5s-2|-6<12

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beinggreat78 beinggreat78

15-09-2022

Answer:

[tex]-16/5 < s < 4[/tex]

Step-by-step explanation:

[tex]|5s-2|-6 < 12 \\ |5s-2| < 18 \\-(5s-2) < 18 \\ -5s+2 < 18 \\ -5s < 16 \\ -s < (16/5) \\ s > -(16/5) \\(5s-2) < 18 \\ 5s < 20 \\ s < 4 \\= -16/5 < s < 4[/tex]

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